Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al

Robert Reynolds and Allan Stauffer
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Robert Reynolds: Department of Mathematics and Statistics, York University, Toronto, ON M3J1P3, Canada
Allan Stauffer: Department of Mathematics and Statistics, York University, Toronto, ON M3J1P3, Canada

Mathematics, 2021, vol. 9, issue 12, 1-12

Abstract: In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions. A substantial part of this work is new.

Keywords: entries of Gradshteyn and Ryzhik; Lerch function; Mellin transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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